化简[cos(α-π)*cot(5π-α)]/[sin(-2π-α)]②sine*根号下(1+cot²e)(e为第三象限角)

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化简[cos(α-π)*cot(5π-α)]/[sin(-2π-α)]②sine*根号下(1+cot²e)(e为第三象限角)
化简[cos(α-π)*cot(5π-α)]/[sin(-2π-α)]
②sine*根号下(1+cot²e)(e为第三象限角)

化简[cos(α-π)*cot(5π-α)]/[sin(-2π-α)]②sine*根号下(1+cot²e)(e为第三象限角)
[cos(α-π)*cot(5π-α)]/[sin(-2π-α)]
=[cos(π-α)*cot(π-α)]/[sin(-α)]
=【-cosα(-cotα)】/(-sinα)
=-cosα*(cosα/sinα)/sinα
=-cot²α
sine*根号下(1+cot²e)
=sine*|1/sine|
=-sine/sine
=-1